# The overtime hours Helen works in a week.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 28E
To determine

## To find: The overtime hours Helen works in a week.

Expert Solution

Helen works 8 hours overtime in a week.

### Explanation of Solution

Given:

For an hour Helen earns $7.50 from her job. For overtime working, more than 35 hours in a week, she is paid 112 times of her salary. Her gross pay for a week was$352.50.

Calculation:

Let x be the overtime hours.

Tabulate the given information algebraically.

 In words In Algebra Overtime hours x Salary for overtime hours (1.5)(7.50)x

Table 1

Model the equation for the above information as follows.

Weeklysalary+Overtimesalary=Totalsalary(35)(7.50)+(1.5)(7.50)x=352.50

On further simplification,

262.5+11.25x=352.5011.25x=90x=8

Thus, Helen works 8 hours overtime in a week.

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